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New generalized variable stepsizes of the CQ algorithm for solving the split feasibility problem

Overview of attention for article published in Journal of Inequalities and Applications, June 2017
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Title
New generalized variable stepsizes of the CQ algorithm for solving the split feasibility problem
Published in
Journal of Inequalities and Applications, June 2017
DOI 10.1186/s13660-017-1409-9
Pubmed ID
Authors

Peiyuan Wang, Jianjun Zhou, Risheng Wang, Jie Chen

Abstract

Variable stepsize methods are effective for various modified CQ algorithms to solve the split feasibility problem (SFP). The purpose of this paper is first to introduce two new simpler variable stepsizes of the CQ algorithm. Then two new generalized variable stepsizes which can cover the former ones are also proposed in real Hilbert spaces. And then, two more general KM (Krasnosel'skii-Mann)-CQ algorithms are also presented. Several weak and strong convergence properties are established. Moreover, some numerical experiments have been taken to illustrate the performance of the proposed stepsizes and algorithms.

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Mendeley readers

The data shown below were compiled from readership statistics for 4 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 4 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 25%
Student > Bachelor 1 25%
Unknown 2 50%
Readers by discipline Count As %
Physics and Astronomy 1 25%
Unknown 3 75%